Pith Number

pith:CS6Y67I5

pith:2015:CS6Y67I5VE5OHZIIM7GF5GF7JW

not attested not anchored not stored refs pending

Sphere Bundles with 1/4-pinched Fiberwise Metrics

Dan Knopf, Pedro Ontaneda, Thomas Farrell, Zhou Gang

arxiv:1505.03773 v1 · 2015-05-14 · math.GT · math.DG

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CS6Y67I5VE5OHZIIM7GF5GF7JW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:09:53.124706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14bd8f7d1da93ae3e50867cc5e98bf4d96638fb7d4c9faae3b006808f648d88a

Aliases

arxiv: 1505.03773 · arxiv_version: 1505.03773v1 · doi: 10.48550/arxiv.1505.03773 · pith_short_12: CS6Y67I5VE5O · pith_short_16: CS6Y67I5VE5OHZII · pith_short_8: CS6Y67I5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CS6Y67I5VE5OHZIIM7GF5GF7JW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 14bd8f7d1da93ae3e50867cc5e98bf4d96638fb7d4c9faae3b006808f648d88a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c17d46e0f340ee7cf7f0fd6b0a03d459c5f85f9099ae8b01953ab777e5976ef",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-14T16:00:43Z",
    "title_canon_sha256": "d0788392ad14f9d5347020085fe67483d14643a99b363f5af25ae04fed9bcc41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03773",
    "kind": "arxiv",
    "version": 1
  }
}